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Finding the Fourth Proportional to 790,176, 1,090,442.88 and 432,480

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Solution

The fourth proportional to 790,176, 1,090,442.88 and 432,480 is: 596,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,176 : 1,090,442.88 = 432,480 : x
  2. Step 2: Convert to fraction form
    790,176/1,090,442.88 = 432,480/x
  3. Step 3: Cross multiply
    790,176x = 1,090,442.88 × 432,480
  4. Step 4: Simplify right side
    790,176x = 471,594,736,742.40
  5. Step 5: Solve for x
    x = 471,594,736,742.40/790,176
  6. Step 6: Final answer
    x = 596,822.40

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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.