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Finding the Fourth Proportional to 655,509.76, 904,689.76 and 369,085.84

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Solution

The fourth proportional to 655,509.76, 904,689.76 and 369,085.84 is: 509,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,509.76 : 904,689.76 = 369,085.84 : x
  2. Step 2: Convert to fraction form
    655,509.76/904,689.76 = 369,085.84/x
  3. Step 3: Cross multiply
    655,509.76x = 904,689.76 × 369,085.84
  4. Step 4: Simplify right side
    655,509.76x = 333,908,180,009.00
  5. Step 5: Solve for x
    x = 333,908,180,009.00/655,509.76
  6. Step 6: Final answer
    x = 509,387.05

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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.