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Finding the Fourth Proportional to 291,421.92, 402,206.88 and 176,719.20

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Solution

The fourth proportional to 291,421.92, 402,206.88 and 176,719.20 is: 243,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,421.92 : 402,206.88 = 176,719.20 : x
  2. Step 2: Convert to fraction form
    291,421.92/402,206.88 = 176,719.20/x
  3. Step 3: Cross multiply
    291,421.92x = 402,206.88 × 176,719.20
  4. Step 4: Simplify right side
    291,421.92x = 71,077,678,068.10
  5. Step 5: Solve for x
    x = 71,077,678,068.10/291,421.92
  6. Step 6: Final answer
    x = 243,899.56

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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.