Finding the Fourth Proportional to 474,312,386,592.48, 654,532,735,362.72 and 257,533,619,542.08
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Solution
The fourth proportional to 474,312,386,592.48, 654,532,735,362.72 and 257,533,619,542.08 is: 355,386,427,197.75
Step by Step Solution
- Step 1: Write the proportion equation
474,312,386,592.48 : 654,532,735,362.72 = 257,533,619,542.08 : x - Step 2: Convert to fraction form
474,312,386,592.48/654,532,735,362.72 = 257,533,619,542.08/x - Step 3: Cross multiply
474,312,386,592.48x = 654,532,735,362.72 × 257,533,619,542.08 - Step 4: Simplify right side
474,312,386,592.48x = 168,564,184,446,739,647,823,872 - Step 5: Solve for x
x = 168,564,184,446,739,647,823,872/474,312,386,592.48 - Step 6: Final answer
x = 355,386,427,197.75
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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.