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Finding the Fourth Proportional to 809,502,750.64, 1,117,114,156.56 and 438,224,770

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Solution

The fourth proportional to 809,502,750.64, 1,117,114,156.56 and 438,224,770 is: 604,750,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,502,750.64 : 1,117,114,156.56 = 438,224,770 : x
  2. Step 2: Convert to fraction form
    809,502,750.64/1,117,114,156.56 = 438,224,770/x
  3. Step 3: Cross multiply
    809,502,750.64x = 1,117,114,156.56 × 438,224,770
  4. Step 4: Simplify right side
    809,502,750.64x = 489,547,094,322,249,984
  5. Step 5: Solve for x
    x = 489,547,094,322,249,984/809,502,750.64
  6. Step 6: Final answer
    x = 604,750,377.85

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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.