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Finding the Fourth Proportional to 291,645, 402,470.10 and 157,509

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Solution

The fourth proportional to 291,645, 402,470.10 and 157,509 is: 217,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,645 : 402,470.10 = 157,509 : x
  2. Step 2: Convert to fraction form
    291,645/402,470.10 = 157,509/x
  3. Step 3: Cross multiply
    291,645x = 402,470.10 × 157,509
  4. Step 4: Simplify right side
    291,645x = 63,392,662,980.90
  5. Step 5: Solve for x
    x = 63,392,662,980.90/291,645
  6. Step 6: Final answer
    x = 217,362.42

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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.