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Finding the Fourth Proportional to 704,497.50, 972,206.55 and 402,697.98

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Solution

The fourth proportional to 704,497.50, 972,206.55 and 402,697.98 is: 555,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,497.50 : 972,206.55 = 402,697.98 : x
  2. Step 2: Convert to fraction form
    704,497.50/972,206.55 = 402,697.98/x
  3. Step 3: Cross multiply
    704,497.50x = 972,206.55 × 402,697.98
  4. Step 4: Simplify right side
    704,497.50x = 391,505,613,827.77
  5. Step 5: Solve for x
    x = 391,505,613,827.77/704,497.50
  6. Step 6: Final answer
    x = 555,723.21

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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.