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Finding the Fourth Proportional to 291,730, 402,587.40 and 157,594

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Solution

The fourth proportional to 291,730, 402,587.40 and 157,594 is: 217,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,730 : 402,587.40 = 157,594 : x
  2. Step 2: Convert to fraction form
    291,730/402,587.40 = 157,594/x
  3. Step 3: Cross multiply
    291,730x = 402,587.40 × 157,594
  4. Step 4: Simplify right side
    291,730x = 63,445,358,715.60
  5. Step 5: Solve for x
    x = 63,445,358,715.60/291,730
  6. Step 6: Final answer
    x = 217,479.72

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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.