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Finding the Fourth Proportional to 434,625,894.80, 651,714,893.40 and 161,856,256.40

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Solution

The fourth proportional to 434,625,894.80, 651,714,893.40 and 161,856,256.40 is: 242,700,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,625,894.80 : 651,714,893.40 = 161,856,256.40 : x
  2. Step 2: Convert to fraction form
    434,625,894.80/651,714,893.40 = 161,856,256.40/x
  3. Step 3: Cross multiply
    434,625,894.80x = 651,714,893.40 × 161,856,256.40
  4. Step 4: Simplify right side
    434,625,894.80x = 105,484,132,885,849,072
  5. Step 5: Solve for x
    x = 105,484,132,885,849,072/434,625,894.80
  6. Step 6: Final answer
    x = 242,700,985.26

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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.