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Finding the Fourth Proportional to 490,758,530.80, 735,512,605.80 and 260,837,762.80

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Solution

The fourth proportional to 490,758,530.80, 735,512,605.80 and 260,837,762.80 is: 390,924,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,758,530.80 : 735,512,605.80 = 260,837,762.80 : x
  2. Step 2: Convert to fraction form
    490,758,530.80/735,512,605.80 = 260,837,762.80/x
  3. Step 3: Cross multiply
    490,758,530.80x = 735,512,605.80 × 260,837,762.80
  4. Step 4: Simplify right side
    490,758,530.80x = 191,849,462,608,070,304
  5. Step 5: Solve for x
    x = 191,849,462,608,070,304/490,758,530.80
  6. Step 6: Final answer
    x = 390,924,356.01

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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.