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Finding the Fourth Proportional to 284,458.11, 392,518.76 and 157,126.11

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Solution

The fourth proportional to 284,458.11, 392,518.76 and 157,126.11 is: 216,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,458.11 : 392,518.76 = 157,126.11 : x
  2. Step 2: Convert to fraction form
    284,458.11/392,518.76 = 157,126.11/x
  3. Step 3: Cross multiply
    284,458.11x = 392,518.76 × 157,126.11
  4. Step 4: Simplify right side
    284,458.11x = 61,674,945,075.19
  5. Step 5: Solve for x
    x = 61,674,945,075.19/284,458.11
  6. Step 6: Final answer
    x = 216,815.56

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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.