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Finding the Fourth Proportional to 291,779.50, 402,655.80 and 157,643.50

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Solution

The fourth proportional to 291,779.50, 402,655.80 and 157,643.50 is: 217,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,779.50 : 402,655.80 = 157,643.50 : x
  2. Step 2: Convert to fraction form
    291,779.50/402,655.80 = 157,643.50/x
  3. Step 3: Cross multiply
    291,779.50x = 402,655.80 × 157,643.50
  4. Step 4: Simplify right side
    291,779.50x = 63,476,069,607.30
  5. Step 5: Solve for x
    x = 63,476,069,607.30/291,779.50
  6. Step 6: Final answer
    x = 217,548.08

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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.