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Finding the Fourth Proportional to 654,688.48, 903,978.48 and 511,199.68

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Solution

The fourth proportional to 654,688.48, 903,978.48 and 511,199.68 is: 705,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,688.48 : 903,978.48 = 511,199.68 : x
  2. Step 2: Convert to fraction form
    654,688.48/903,978.48 = 511,199.68/x
  3. Step 3: Cross multiply
    654,688.48x = 903,978.48 × 511,199.68
  4. Step 4: Simplify right side
    654,688.48x = 462,113,509,702.89
  5. Step 5: Solve for x
    x = 462,113,509,702.89/654,688.48
  6. Step 6: Final answer
    x = 705,852.51

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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.