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Finding the Fourth Proportional to 406,335.42, 560,750.72 and 243,159.71

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Solution

The fourth proportional to 406,335.42, 560,750.72 and 243,159.71 is: 335,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,335.42 : 560,750.72 = 243,159.71 : x
  2. Step 2: Convert to fraction form
    406,335.42/560,750.72 = 243,159.71/x
  3. Step 3: Cross multiply
    406,335.42x = 560,750.72 × 243,159.71
  4. Step 4: Simplify right side
    406,335.42x = 136,351,978,437.94
  5. Step 5: Solve for x
    x = 136,351,978,437.94/406,335.42
  6. Step 6: Final answer
    x = 335,565.08

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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.