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Finding the Fourth Proportional to 290,439,071.50, 400,805,926.88 and 160,058,879.50

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Solution

The fourth proportional to 290,439,071.50, 400,805,926.88 and 160,058,879.50 is: 220,881,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,439,071.50 : 400,805,926.88 = 160,058,879.50 : x
  2. Step 2: Convert to fraction form
    290,439,071.50/400,805,926.88 = 160,058,879.50/x
  3. Step 3: Cross multiply
    290,439,071.50x = 400,805,926.88 × 160,058,879.50
  4. Step 4: Simplify right side
    290,439,071.50x = 64,152,547,553,371,728
  5. Step 5: Solve for x
    x = 64,152,547,553,371,728/290,439,071.50
  6. Step 6: Final answer
    x = 220,881,258.23

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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.