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Finding the Fourth Proportional to 292,256.19, 438,409.14 and 102,700.20

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Solution

The fourth proportional to 292,256.19, 438,409.14 and 102,700.20 is: 154,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,256.19 : 438,409.14 = 102,700.20 : x
  2. Step 2: Convert to fraction form
    292,256.19/438,409.14 = 102,700.20/x
  3. Step 3: Cross multiply
    292,256.19x = 438,409.14 × 102,700.20
  4. Step 4: Simplify right side
    292,256.19x = 45,024,706,359.83
  5. Step 5: Solve for x
    x = 45,024,706,359.83/292,256.19
  6. Step 6: Final answer
    x = 154,059.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.