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Finding the Fourth Proportional to 432,652,047.34, 648,978,071.55 and 105,125,877.58

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Solution

The fourth proportional to 432,652,047.34, 648,978,071.55 and 105,125,877.58 is: 157,688,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,652,047.34 : 648,978,071.55 = 105,125,877.58 : x
  2. Step 2: Convert to fraction form
    432,652,047.34/648,978,071.55 = 105,125,877.58/x
  3. Step 3: Cross multiply
    432,652,047.34x = 648,978,071.55 × 105,125,877.58
  4. Step 4: Simplify right side
    432,652,047.34x = 68,224,389,301,869,776
  5. Step 5: Solve for x
    x = 68,224,389,301,869,776/432,652,047.34
  6. Step 6: Final answer
    x = 157,688,816.50

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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.