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Finding the Fourth Proportional to 497,780,478.40, 695,280,238.40 and 497,780,478.40

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Solution

The fourth proportional to 497,780,478.40, 695,280,238.40 and 497,780,478.40 is: 695,280,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,780,478.40 : 695,280,238.40 = 497,780,478.40 : x
  2. Step 2: Convert to fraction form
    497,780,478.40/695,280,238.40 = 497,780,478.40/x
  3. Step 3: Cross multiply
    497,780,478.40x = 695,280,238.40 × 497,780,478.40
  4. Step 4: Simplify right side
    497,780,478.40x = 346,096,929,692,818,048
  5. Step 5: Solve for x
    x = 346,096,929,692,818,048/497,780,478.40
  6. Step 6: Final answer
    x = 695,280,238.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.