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Finding the Fourth Proportional to 284,410.35, 392,488.32 and 157,085.94

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Solution

The fourth proportional to 284,410.35, 392,488.32 and 157,085.94 is: 216,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,410.35 : 392,488.32 = 157,085.94 : x
  2. Step 2: Convert to fraction form
    284,410.35/392,488.32 = 157,085.94/x
  3. Step 3: Cross multiply
    284,410.35x = 392,488.32 × 157,085.94
  4. Step 4: Simplify right side
    284,410.35x = 61,654,396,686.22
  5. Step 5: Solve for x
    x = 61,654,396,686.22/284,410.35
  6. Step 6: Final answer
    x = 216,779.72

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1.5x scale

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.