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Finding the Fourth Proportional to 291,778, 402,653.70 and 157,642

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Solution

The fourth proportional to 291,778, 402,653.70 and 157,642 is: 217,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,778 : 402,653.70 = 157,642 : x
  2. Step 2: Convert to fraction form
    291,778/402,653.70 = 157,642/x
  3. Step 3: Cross multiply
    291,778x = 402,653.70 × 157,642
  4. Step 4: Simplify right side
    291,778x = 63,475,134,575.40
  5. Step 5: Solve for x
    x = 63,475,134,575.40/291,778
  6. Step 6: Final answer
    x = 217,545.99

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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.