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Finding the Fourth Proportional to 299,272,276.80, 448,908,415.20 and 282,644,078.40

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Solution

The fourth proportional to 299,272,276.80, 448,908,415.20 and 282,644,078.40 is: 423,966,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,272,276.80 : 448,908,415.20 = 282,644,078.40 : x
  2. Step 2: Convert to fraction form
    299,272,276.80/448,908,415.20 = 282,644,078.40/x
  3. Step 3: Cross multiply
    299,272,276.80x = 448,908,415.20 × 282,644,078.40
  4. Step 4: Simplify right side
    299,272,276.80x = 126,881,305,300,208,544
  5. Step 5: Solve for x
    x = 126,881,305,300,208,544/299,272,276.80
  6. Step 6: Final answer
    x = 423,966,117.60

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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.