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Finding the Fourth Proportional to 559,948.60, 839,266.80 and 419,543.20

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Solution

The fourth proportional to 559,948.60, 839,266.80 and 419,543.20 is: 628,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,948.60 : 839,266.80 = 419,543.20 : x
  2. Step 2: Convert to fraction form
    559,948.60/839,266.80 = 419,543.20/x
  3. Step 3: Cross multiply
    559,948.60x = 839,266.80 × 419,543.20
  4. Step 4: Simplify right side
    559,948.60x = 352,108,678,925.76
  5. Step 5: Solve for x
    x = 352,108,678,925.76/559,948.60
  6. Step 6: Final answer
    x = 628,823.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.