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Finding the Fourth Proportional to 983,762,824.80, 1,475,431,660.80 and 431,064,184.80

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Solution

The fourth proportional to 983,762,824.80, 1,475,431,660.80 and 431,064,184.80 is: 646,503,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,762,824.80 : 1,475,431,660.80 = 431,064,184.80 : x
  2. Step 2: Convert to fraction form
    983,762,824.80/1,475,431,660.80 = 431,064,184.80/x
  3. Step 3: Cross multiply
    983,762,824.80x = 1,475,431,660.80 × 431,064,184.80
  4. Step 4: Simplify right side
    983,762,824.80x = 636,005,746,090,862,080
  5. Step 5: Solve for x
    x = 636,005,746,090,862,080/983,762,824.80
  6. Step 6: Final answer
    x = 646,503,130.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.