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Finding the Fourth Proportional to 731,237,698.98, 1,009,107,915.08 and 417,978,639

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Solution

The fourth proportional to 731,237,698.98, 1,009,107,915.08 and 417,978,639 is: 576,810,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,237,698.98 : 1,009,107,915.08 = 417,978,639 : x
  2. Step 2: Convert to fraction form
    731,237,698.98/1,009,107,915.08 = 417,978,639/x
  3. Step 3: Cross multiply
    731,237,698.98x = 1,009,107,915.08 × 417,978,639
  4. Step 4: Simplify right side
    731,237,698.98x = 421,785,552,947,176,128
  5. Step 5: Solve for x
    x = 421,785,552,947,176,128/731,237,698.98
  6. Step 6: Final answer
    x = 576,810,459.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.