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Finding the Fourth Proportional to 316,089.40, 472,967.70 and 288,095.80

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Solution

The fourth proportional to 316,089.40, 472,967.70 and 288,095.80 is: 431,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,089.40 : 472,967.70 = 288,095.80 : x
  2. Step 2: Convert to fraction form
    316,089.40/472,967.70 = 288,095.80/x
  3. Step 3: Cross multiply
    316,089.40x = 472,967.70 × 288,095.80
  4. Step 4: Simplify right side
    316,089.40x = 136,260,007,905.66
  5. Step 5: Solve for x
    x = 136,260,007,905.66/316,089.40
  6. Step 6: Final answer
    x = 431,080.60

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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.