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Finding the Fourth Proportional to 648,100, 972,582 and 249,070.24

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Solution

The fourth proportional to 648,100, 972,582 and 249,070.24 is: 373,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,100 : 972,582 = 249,070.24 : x
  2. Step 2: Convert to fraction form
    648,100/972,582 = 249,070.24/x
  3. Step 3: Cross multiply
    648,100x = 972,582 × 249,070.24
  4. Step 4: Simplify right side
    648,100x = 242,241,232,159.68
  5. Step 5: Solve for x
    x = 242,241,232,159.68/648,100
  6. Step 6: Final answer
    x = 373,771.38

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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.