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Finding the Fourth Proportional to 616,854.48, 851,741.64 and 473,387.28

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Solution

The fourth proportional to 616,854.48, 851,741.64 and 473,387.28 is: 653,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,854.48 : 851,741.64 = 473,387.28 : x
  2. Step 2: Convert to fraction form
    616,854.48/851,741.64 = 473,387.28/x
  3. Step 3: Cross multiply
    616,854.48x = 851,741.64 × 473,387.28
  4. Step 4: Simplify right side
    616,854.48x = 403,203,658,222.34
  5. Step 5: Solve for x
    x = 403,203,658,222.34/616,854.48
  6. Step 6: Final answer
    x = 653,644.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.