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Finding the Fourth Proportional to 922,176, 1,272,602.88 and 498,240

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Solution

The fourth proportional to 922,176, 1,272,602.88 and 498,240 is: 687,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,176 : 1,272,602.88 = 498,240 : x
  2. Step 2: Convert to fraction form
    922,176/1,272,602.88 = 498,240/x
  3. Step 3: Cross multiply
    922,176x = 1,272,602.88 × 498,240
  4. Step 4: Simplify right side
    922,176x = 634,061,658,931.20
  5. Step 5: Solve for x
    x = 634,061,658,931.20/922,176
  6. Step 6: Final answer
    x = 687,571.20

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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.