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Finding the Fourth Proportional to 525,865,008.64, 725,671,910.80 and 287,709,024.64

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Solution

The fourth proportional to 525,865,008.64, 725,671,910.80 and 287,709,024.64 is: 397,026,526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,865,008.64 : 725,671,910.80 = 287,709,024.64 : x
  2. Step 2: Convert to fraction form
    525,865,008.64/725,671,910.80 = 287,709,024.64/x
  3. Step 3: Cross multiply
    525,865,008.64x = 725,671,910.80 × 287,709,024.64
  4. Step 4: Simplify right side
    525,865,008.64x = 208,782,357,664,913,056
  5. Step 5: Solve for x
    x = 208,782,357,664,913,056/525,865,008.64
  6. Step 6: Final answer
    x = 397,026,526.27

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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.