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Finding the Fourth Proportional to 415,779.84, 573,570 and 260,703.72

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Solution

The fourth proportional to 415,779.84, 573,570 and 260,703.72 is: 359,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,779.84 : 573,570 = 260,703.72 : x
  2. Step 2: Convert to fraction form
    415,779.84/573,570 = 260,703.72/x
  3. Step 3: Cross multiply
    415,779.84x = 573,570 × 260,703.72
  4. Step 4: Simplify right side
    415,779.84x = 149,531,832,680.40
  5. Step 5: Solve for x
    x = 149,531,832,680.40/415,779.84
  6. Step 6: Final answer
    x = 359,641.85

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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.