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Finding the Fourth Proportional to 291,898.40, 402,819.55 and 157,762.40

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Solution

The fourth proportional to 291,898.40, 402,819.55 and 157,762.40 is: 217,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,898.40 : 402,819.55 = 157,762.40 : x
  2. Step 2: Convert to fraction form
    291,898.40/402,819.55 = 157,762.40/x
  3. Step 3: Cross multiply
    291,898.40x = 402,819.55 × 157,762.40
  4. Step 4: Simplify right side
    291,898.40x = 63,549,776,566.42
  5. Step 5: Solve for x
    x = 63,549,776,566.42/291,898.40
  6. Step 6: Final answer
    x = 217,711.98

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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.