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Finding the Fourth Proportional to 525,430.50, 725,094.90 and 299,076

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Solution

The fourth proportional to 525,430.50, 725,094.90 and 299,076 is: 412,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,430.50 : 725,094.90 = 299,076 : x
  2. Step 2: Convert to fraction form
    525,430.50/725,094.90 = 299,076/x
  3. Step 3: Cross multiply
    525,430.50x = 725,094.90 × 299,076
  4. Step 4: Simplify right side
    525,430.50x = 216,858,482,312.40
  5. Step 5: Solve for x
    x = 216,858,482,312.40/525,430.50
  6. Step 6: Final answer
    x = 412,725.34

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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.