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Finding the Fourth Proportional to 291,732, 402,590.16 and 157,596

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Solution

The fourth proportional to 291,732, 402,590.16 and 157,596 is: 217,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,732 : 402,590.16 = 157,596 : x
  2. Step 2: Convert to fraction form
    291,732/402,590.16 = 157,596/x
  3. Step 3: Cross multiply
    291,732x = 402,590.16 × 157,596
  4. Step 4: Simplify right side
    291,732x = 63,446,598,855.36
  5. Step 5: Solve for x
    x = 63,446,598,855.36/291,732
  6. Step 6: Final answer
    x = 217,482.48

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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.