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Finding the Fourth Proportional to 556,915.32, 768,543.90 and 302,266.53

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Solution

The fourth proportional to 556,915.32, 768,543.90 and 302,266.53 is: 417,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,915.32 : 768,543.90 = 302,266.53 : x
  2. Step 2: Convert to fraction form
    556,915.32/768,543.90 = 302,266.53/x
  3. Step 3: Cross multiply
    556,915.32x = 768,543.90 × 302,266.53
  4. Step 4: Simplify right side
    556,915.32x = 232,305,097,805.67
  5. Step 5: Solve for x
    x = 232,305,097,805.67/556,915.32
  6. Step 6: Final answer
    x = 417,128.22

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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.