Finding the Fourth Proportional to 742,566,426.96, 1,024,681,678.80 and 429,320,827.68
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Solution
The fourth proportional to 742,566,426.96, 1,024,681,678.80 and 429,320,827.68 is: 592,428,058.26
Step by Step Solution
- Step 1: Write the proportion equation
742,566,426.96 : 1,024,681,678.80 = 429,320,827.68 : x - Step 2: Convert to fraction form
742,566,426.96/1,024,681,678.80 = 429,320,827.68/x - Step 3: Cross multiply
742,566,426.96x = 1,024,681,678.80 × 429,320,827.68 - Step 4: Simplify right side
742,566,426.96x = 439,917,186,450,947,904 - Step 5: Solve for x
x = 439,917,186,450,947,904/742,566,426.96 - Step 6: Final answer
x = 592,428,058.26
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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.