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Finding the Fourth Proportional to 704,609.94, 972,613.86 and 418,129.98

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Solution

The fourth proportional to 704,609.94, 972,613.86 and 418,129.98 is: 577,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,609.94 : 972,613.86 = 418,129.98 : x
  2. Step 2: Convert to fraction form
    704,609.94/972,613.86 = 418,129.98/x
  3. Step 3: Cross multiply
    704,609.94x = 972,613.86 × 418,129.98
  4. Step 4: Simplify right side
    704,609.94x = 406,679,013,829.52
  5. Step 5: Solve for x
    x = 406,679,013,829.52/704,609.94
  6. Step 6: Final answer
    x = 577,169.00

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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.