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Finding the Fourth Proportional to 613,177,315.80, 918,254,319.30 and 407,592,317.40

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Solution

The fourth proportional to 613,177,315.80, 918,254,319.30 and 407,592,317.40 is: 610,383,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,177,315.80 : 918,254,319.30 = 407,592,317.40 : x
  2. Step 2: Convert to fraction form
    613,177,315.80/918,254,319.30 = 407,592,317.40/x
  3. Step 3: Cross multiply
    613,177,315.80x = 918,254,319.30 × 407,592,317.40
  4. Step 4: Simplify right side
    613,177,315.80x = 374,273,405,966,046,528
  5. Step 5: Solve for x
    x = 374,273,405,966,046,528/613,177,315.80
  6. Step 6: Final answer
    x = 610,383,646.50

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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.