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Finding the Fourth Proportional to 284,062.65, 392,014.61 and 156,746.45

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Solution

The fourth proportional to 284,062.65, 392,014.61 and 156,746.45 is: 216,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,062.65 : 392,014.61 = 156,746.45 : x
  2. Step 2: Convert to fraction form
    284,062.65/392,014.61 = 156,746.45/x
  3. Step 3: Cross multiply
    284,062.65x = 392,014.61 × 156,746.45
  4. Step 4: Simplify right side
    284,062.65x = 61,446,895,721.83
  5. Step 5: Solve for x
    x = 61,446,895,721.83/284,062.65
  6. Step 6: Final answer
    x = 216,314.59

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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.