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Finding the Fourth Proportional to 319,478,564.80, 478,546,000.80 and 265,730,852.80

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Solution

The fourth proportional to 319,478,564.80, 478,546,000.80 and 265,730,852.80 is: 398,037,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,478,564.80 : 478,546,000.80 = 265,730,852.80 : x
  2. Step 2: Convert to fraction form
    319,478,564.80/478,546,000.80 = 265,730,852.80/x
  3. Step 3: Cross multiply
    319,478,564.80x = 478,546,000.80 × 265,730,852.80
  4. Step 4: Simplify right side
    319,478,564.80x = 127,164,436,896,613,488
  5. Step 5: Solve for x
    x = 127,164,436,896,613,488/319,478,564.80
  6. Step 6: Final answer
    x = 398,037,461.37

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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.