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Finding the Fourth Proportional to 490,678,809.30, 735,393,023.55 and 260,758,041.30

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Solution

The fourth proportional to 490,678,809.30, 735,393,023.55 and 260,758,041.30 is: 390,804,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,678,809.30 : 735,393,023.55 = 260,758,041.30 : x
  2. Step 2: Convert to fraction form
    490,678,809.30/735,393,023.55 = 260,758,041.30/x
  3. Step 3: Cross multiply
    490,678,809.30x = 735,393,023.55 × 260,758,041.30
  4. Step 4: Simplify right side
    490,678,809.30x = 191,759,644,406,582,784
  5. Step 5: Solve for x
    x = 191,759,644,406,582,784/490,678,809.30
  6. Step 6: Final answer
    x = 390,804,821.35

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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.