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Finding the Fourth Proportional to 399,411,430.40, 599,117,145.60 and 326,852,019.20

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Solution

The fourth proportional to 399,411,430.40, 599,117,145.60 and 326,852,019.20 is: 490,278,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,411,430.40 : 599,117,145.60 = 326,852,019.20 : x
  2. Step 2: Convert to fraction form
    399,411,430.40/599,117,145.60 = 326,852,019.20/x
  3. Step 3: Cross multiply
    399,411,430.40x = 599,117,145.60 × 326,852,019.20
  4. Step 4: Simplify right side
    399,411,430.40x = 195,822,648,776,700,384
  5. Step 5: Solve for x
    x = 195,822,648,776,700,384/399,411,430.40
  6. Step 6: Final answer
    x = 490,278,028.80

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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.