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Finding the Fourth Proportional to 495,946.34, 684,413.43 and 278,203.28

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Solution

The fourth proportional to 495,946.34, 684,413.43 and 278,203.28 is: 383,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,946.34 : 684,413.43 = 278,203.28 : x
  2. Step 2: Convert to fraction form
    495,946.34/684,413.43 = 278,203.28/x
  3. Step 3: Cross multiply
    495,946.34x = 684,413.43 × 278,203.28
  4. Step 4: Simplify right side
    495,946.34x = 190,406,057,679.98
  5. Step 5: Solve for x
    x = 190,406,057,679.98/495,946.34
  6. Step 6: Final answer
    x = 383,924.72

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1.5x scale

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.