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Finding the Fourth Proportional to 421,878,340.16, 582,185,783.04 and 233,706,038.48

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Solution

The fourth proportional to 421,878,340.16, 582,185,783.04 and 233,706,038.48 is: 322,510,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,878,340.16 : 582,185,783.04 = 233,706,038.48 : x
  2. Step 2: Convert to fraction form
    421,878,340.16/582,185,783.04 = 233,706,038.48/x
  3. Step 3: Cross multiply
    421,878,340.16x = 582,185,783.04 × 233,706,038.48
  4. Step 4: Simplify right side
    421,878,340.16x = 136,060,333,013,655,152
  5. Step 5: Solve for x
    x = 136,060,333,013,655,152/421,878,340.16
  6. Step 6: Final answer
    x = 322,510,828.51

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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.