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Finding the Fourth Proportional to 291,984, 402,938.88 and 157,848.96

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Solution

The fourth proportional to 291,984, 402,938.88 and 157,848.96 is: 217,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,984 : 402,938.88 = 157,848.96 : x
  2. Step 2: Convert to fraction form
    291,984/402,938.88 = 157,848.96/x
  3. Step 3: Cross multiply
    291,984x = 402,938.88 × 157,848.96
  4. Step 4: Simplify right side
    291,984x = 63,603,483,151.56
  5. Step 5: Solve for x
    x = 63,603,483,151.56/291,984
  6. Step 6: Final answer
    x = 217,832.08

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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.