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Finding the Fourth Proportional to 520,051.29, 780,106.10 and 146,045.13

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Solution

The fourth proportional to 520,051.29, 780,106.10 and 146,045.13 is: 219,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,051.29 : 780,106.10 = 146,045.13 : x
  2. Step 2: Convert to fraction form
    520,051.29/780,106.10 = 146,045.13/x
  3. Step 3: Cross multiply
    520,051.29x = 780,106.10 × 146,045.13
  4. Step 4: Simplify right side
    520,051.29x = 113,930,696,788.29
  5. Step 5: Solve for x
    x = 113,930,696,788.29/520,051.29
  6. Step 6: Final answer
    x = 219,075.89

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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.