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Finding the Fourth Proportional to 553,312,278.80, 829,968,418.20 and 144,368,429.30

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Solution

The fourth proportional to 553,312,278.80, 829,968,418.20 and 144,368,429.30 is: 216,552,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,312,278.80 : 829,968,418.20 = 144,368,429.30 : x
  2. Step 2: Convert to fraction form
    553,312,278.80/829,968,418.20 = 144,368,429.30/x
  3. Step 3: Cross multiply
    553,312,278.80x = 829,968,418.20 × 144,368,429.30
  4. Step 4: Simplify right side
    553,312,278.80x = 119,821,236,904,139,552
  5. Step 5: Solve for x
    x = 119,821,236,904,139,552/553,312,278.80
  6. Step 6: Final answer
    x = 216,552,643.95

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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.