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Finding the Fourth Proportional to 922,406.40, 1,383,148.80 and 423,206.40

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Solution

The fourth proportional to 922,406.40, 1,383,148.80 and 423,206.40 is: 634,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,406.40 : 1,383,148.80 = 423,206.40 : x
  2. Step 2: Convert to fraction form
    922,406.40/1,383,148.80 = 423,206.40/x
  3. Step 3: Cross multiply
    922,406.40x = 1,383,148.80 × 423,206.40
  4. Step 4: Simplify right side
    922,406.40x = 585,357,424,312.32
  5. Step 5: Solve for x
    x = 585,357,424,312.32/922,406.40
  6. Step 6: Final answer
    x = 634,598.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.