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Finding the Fourth Proportional to 284,312.30, 392,343.42 and 156,985.16

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Solution

The fourth proportional to 284,312.30, 392,343.42 and 156,985.16 is: 216,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,312.30 : 392,343.42 = 156,985.16 : x
  2. Step 2: Convert to fraction form
    284,312.30/392,343.42 = 156,985.16/x
  3. Step 3: Cross multiply
    284,312.30x = 392,343.42 × 156,985.16
  4. Step 4: Simplify right side
    284,312.30x = 61,592,094,563.65
  5. Step 5: Solve for x
    x = 61,592,094,563.65/284,312.30
  6. Step 6: Final answer
    x = 216,635.35

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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.