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Finding the Fourth Proportional to 291,752, 402,617.76 and 157,616

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Solution

The fourth proportional to 291,752, 402,617.76 and 157,616 is: 217,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,752 : 402,617.76 = 157,616 : x
  2. Step 2: Convert to fraction form
    291,752/402,617.76 = 157,616/x
  3. Step 3: Cross multiply
    291,752x = 402,617.76 × 157,616
  4. Step 4: Simplify right side
    291,752x = 63,459,000,860.16
  5. Step 5: Solve for x
    x = 63,459,000,860.16/291,752
  6. Step 6: Final answer
    x = 217,510.08

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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.