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Finding the Fourth Proportional to 645,587, 968,536.04 and 202,355

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Solution

The fourth proportional to 645,587, 968,536.04 and 202,355 is: 303,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,587 : 968,536.04 = 202,355 : x
  2. Step 2: Convert to fraction form
    645,587/968,536.04 = 202,355/x
  3. Step 3: Cross multiply
    645,587x = 968,536.04 × 202,355
  4. Step 4: Simplify right side
    645,587x = 195,988,110,374.20
  5. Step 5: Solve for x
    x = 195,988,110,374.20/645,587
  6. Step 6: Final answer
    x = 303,581.25

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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.