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Finding the Fourth Proportional to 520,817.19, 779,951.84 and 470,330.25

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Solution

The fourth proportional to 520,817.19, 779,951.84 and 470,330.25 is: 704,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,817.19 : 779,951.84 = 470,330.25 : x
  2. Step 2: Convert to fraction form
    520,817.19/779,951.84 = 470,330.25/x
  3. Step 3: Cross multiply
    520,817.19x = 779,951.84 × 470,330.25
  4. Step 4: Simplify right side
    520,817.19x = 366,834,941,543.51
  5. Step 5: Solve for x
    x = 366,834,941,543.51/520,817.19
  6. Step 6: Final answer
    x = 704,344.92

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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.