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Finding the Fourth Proportional to 489,509,747.20, 732,564,009.60 and 448,695,078.40

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Solution

The fourth proportional to 489,509,747.20, 732,564,009.60 and 448,695,078.40 is: 671,483,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,509,747.20 : 732,564,009.60 = 448,695,078.40 : x
  2. Step 2: Convert to fraction form
    489,509,747.20/732,564,009.60 = 448,695,078.40/x
  3. Step 3: Cross multiply
    489,509,747.20x = 732,564,009.60 × 448,695,078.40
  4. Step 4: Simplify right side
    489,509,747.20x = 328,697,865,720,490,368
  5. Step 5: Solve for x
    x = 328,697,865,720,490,368/489,509,747.20
  6. Step 6: Final answer
    x = 671,483,801.09

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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.