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Finding the Fourth Proportional to 284,058.04, 392,002.50 and 156,742.12

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Solution

The fourth proportional to 284,058.04, 392,002.50 and 156,742.12 is: 216,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,058.04 : 392,002.50 = 156,742.12 : x
  2. Step 2: Convert to fraction form
    284,058.04/392,002.50 = 156,742.12/x
  3. Step 3: Cross multiply
    284,058.04x = 392,002.50 × 156,742.12
  4. Step 4: Simplify right side
    284,058.04x = 61,443,302,895.30
  5. Step 5: Solve for x
    x = 61,443,302,895.30/284,058.04
  6. Step 6: Final answer
    x = 216,305.45

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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.