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Finding the Fourth Proportional to 647,617,897.92, 893,719,790.08 and 354,262,468.80

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Solution

The fourth proportional to 647,617,897.92, 893,719,790.08 and 354,262,468.80 is: 488,886,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,617,897.92 : 893,719,790.08 = 354,262,468.80 : x
  2. Step 2: Convert to fraction form
    647,617,897.92/893,719,790.08 = 354,262,468.80/x
  3. Step 3: Cross multiply
    647,617,897.92x = 893,719,790.08 × 354,262,468.80
  4. Step 4: Simplify right side
    647,617,897.92x = 316,611,379,249,158,592
  5. Step 5: Solve for x
    x = 316,611,379,249,158,592/647,617,897.92
  6. Step 6: Final answer
    x = 488,886,085.86

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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.